Research On Invulnerability Of Equipment Support System Based On Network Science

With the rapid development of information technology,modern warfare has become more and more networked,systematic and informatized.The survival of weapons and equipment has become more and more difficult,and the support task has become more severe.The contradiction between the limited equipment support resources and the diverse needs of support tasks has restricted the development of combat effectiveness.Therefore,it is an important challenge for modern military to build a systematic equipment support system so as to ensure that various weapons and equipment can efficiently exert their power.The equipment support system plays an important role in the war,and so it is eays to be attacked.The complexity of the equipment support system itself also bring great challenges to the research.Based on the existing problems in the current research,this paper systematically studies the invulnerability of the equipment support system based on the complex network theory.The research includes the construction of the model of the equipment support system,the analysis of the damage propagation process,and the method of evaluating the importance of nodes.Through these studies,we further analyze and understand the structural characteristics,transport characteristics and node centrality of the equipment support system,so as to provide certain guiding suggestions for the construction of the equipment support system.The main research work and results of this paper are as follows:(1)First,we establish a spatial network model that can reflect the spatial characteristics of the equipment support system.On the basis of the established model,the initial partial failure caused by different types of attacks is continuously propagated in the network and eventually leads to a series of node failures,that is,the cascading failures.We then evaluate the impact of cascading failures on the network robustness.By comparing the experimental results with three classical network models under the same conditions,the results show that the spatial network model is more robust to random attacks.But the network is extremely vulnerable when the central node is deliberately attacked.Especially when the node with the strongest betweenness centrality is attacked.We then further an-alyze the factors that affect the robustness of the network,include the network topology characteristics and the parameter selection in the network model.We find that the heterogeneous betweenness distribution causes the network to exhibit ”robust and vulnerable”properties under different attacks.This work provides a corresponding explanation for understanding the robustness of realistic heterogeneous networks,and has certain guiding significance for network construction.(2)In order to describe the interaction among multiple sub-networks of the equipment support system and study its influence,we propose a new network model of the equipment support system.The model is composed of the upper air transportation network and the lower railway transportation network.In order to save the transport time and reduce the transport cost,and make full use of the traffic lines in both the upper and lower layers of the network,we also propose a task-oriented routing strategy.This strategy includes that the total transport cost on each link is composed of time cost and economic cost,and a proportional parameter is defined to measure the proportion of the two in the total cost.And then the nodes are routed according to the path with the lowest transport cost.The effect of this routing strategy on system congestion is further studied.The results show that under this routing plan,in the process of changing the transport route between nodes with the change of task requirements,there is a condition to make the system capacity(that is,the maximum load that the system can transport without congestion)to take the maximum value.By further research,a method for theoretically analyzing and calculating the conditions when the system capacity takes the maximum value is proposed.The network model proposed in this work is composed of a multi-domain space and can be used to describe the support requirements in the realistic joint combat environment,and also it lays a foundation for subsequent research.(3)We further investigate the technology of identifying critical nodes.As different nodes are attacked,the invulnerability of the system will be affected differently.When some key nodes fail due to attacks,the transport capacity of the system will drop significantly.Therefore,we propose a comprehensive metric for evaluating the importance of nodes.This index comprehensively evaluates the connection ability of nodes in the local area and the transportation ability in the global area,and considers the topological characteristics and the functional information of the nodes.The importance of all nodes is quantified according to this indicator,and the higher the ranking of the quantified results,the more critical the nodes are.By comparing with other six node importance evaluation indicators,the performance of different indicators used to identify key nodes under various task requirements is simulated.The results show that the comprehensive index of node importance proposed in this work is more effective in identifying key nodes and more stable under changing task requirements.This work on identifying key nodes helps to strengthen defenses before enemy attacks and minimize system damage by identifying weak area in the system.